14. A cellular telephone company recently conducted research into the length of calls (in
minutes) made by customers. In a random sample of 30 calls, the sample mean was
x= 18.6 minutes and the standard deviation was s=5.2 minutes. Construct and interpret
a 90% confidence interval for true mean call length. (4-step process)
Answer:
The correct answer is "16.987, 20213".
Step-by-step explanation:
Given that,
[tex]n=30[/tex]
[tex]\bar x=18.6[/tex]
[tex]s = 5.2[/tex]
[tex]df=30-1[/tex]
[tex]=29[/tex]
[tex]\alpha = 0.10[/tex]
By using the table, the critical values of t will be:
= [tex]\pm 1.699[/tex]
Now,
The confidence interval will be:
= [tex]\bar x \pm \frac{t\times s}{\sqrt{n} }[/tex]
By putting the values, we get
= [tex]18.6 \pm \frac{1.699\times 5.2}{\sqrt{30} }[/tex]
= [tex]16.987,20.213[/tex]
Which is a simplified form of the expression 6(2t – 3) + 3(t + 5)?
A. 11t - 2
B. 12t - 8
C. 9t - 2
D. 15t - 3
Answer:
it's option D.
Step-by-step explanation:
see attachment in case u need steps
Answer:
d
Step-by-step explanation:
Deborah finds that the theoretical probability of flipping "heads" on a fair coin was 50%. After she flipped the fair coin 100 times, she calculated that she flipped "heads" 45 times. What is the percent difference in theoretical and experimental probability?
Answer: 5%
Step-by-step explanation:
4. A rental car agency charges a fee of $25 plus $0.20 for every mile driven. Write a function rule to determine the cost of renting a car.
a. What is the cost of driving a rental car 150 miles?
b. If I have $145, how far many miles can I drive the rental car?
Besties help please
Answer:
a. $25 + ($0.20 × 150) = $25 + $30 = $55
b. $145 ÷ $0.20 = 725 miles
Alright I need help again and I will award brainliest if you are correct
Answer: No Triangle: 30 , 85 , 60, and 2, 8, 10
One Triangle: 7, 24, 25
Many Triangles: 45, 45, 90 5, 15, 160
Evaluate the expression 33.15/n n=1.5
Answer:
22.1
Step-by-step explanation:
33.15/n
33.15/1.5
= 22.1
Brian asked a group of people their favourite country . The results are summarised in the table. Destination UK Europe USA Africa Other
48 72 72 144 144
Answer:
I don’t really understand but here’s the table;
Step-by-step explanation:
UK = 48
Europe = 72
USA =72
Africa = 144
Other = 144
Answer:
ok so heres what that would look like
UK:48
Europe:72
USA:72
Africa:144
Other:144
Total:480
In Hackensack High School, the ratio of students to teachers is 9 to 2. If there
are 90 teachers at the High School, how many students are there?
Answer:
405?
Step-by-step explanation:
90 didved by two is 45
45 times nine is 405
Complete the function for this graph.
Answer:
1 and 4
Step-by-step explanation:
The vertex of the graph is (1,4) which is translated up 4 units
The equation p=100−5t represents the percent p of battery power remaining in a tablet after t hours.
a. Identify the independent and dependent variables. Then describe how the battery power changes over time.
The independent variable is
and the dependent variable is
.
The battery power begins at
% and decreases
% each hour.
Question 2
b. Graph the equation.
Answer:
a) Independent variable is the hours.
Dependent variable is the power left after t hours
b) The graph that shows in the images
*sorry if my answer is wrong
solution set for [4-x/2]=8
Answer:
[tex]x = - 8[/tex]
Step-by-step explanation:
[tex](4 - \frac{x}{2} ) = 8[/tex]
[tex] - \frac{x}{2} = 8 - 4[/tex]
[tex] - \frac{x}{2} = 4[/tex]
[tex] - 2 \times ( - \frac{x}{2} ) = - 2 \times 4[/tex]
[tex]−1 \times (−x)=−2 \times 4[/tex]
[tex]x=−2 \times 4[/tex]
[tex]x = - 8[/tex]
Hope it is helpful...What is m angle KNL?
Enter your answer in the box.
Answer:
KNL = 102
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
5x+2 = 3(x+14)
5x+2 = 3x+42
Subtract 3x from each side
5x-3x+2 = 3x+42-3x
2x+2 = 42
Subtract 2 from each side
2x+2-2 = 42-2
2x = 40
Divide by 2
2x/2 = 40/2
x = 20
We want to find KNL
KNL = 3(x+14) = 3(20+14) = 3 ( 34) = 102
2) In a class of 31 students, some study Physics and some study Chemistry. If 22
study Physics, 20 study Chemistry and 5 study neither. Calculate how many take:
a) both Physics and Chemistry
b) just Physics
c) just Chemistry
Which area model can u use to fine * find 39 x73
I need help with this problem. please help. thanks
Answer:
D
Step-by-step explanation:
Answer:
Option B. ( For Question 32...)
Step-by-step explanation:
I NEED HELP WITH THESE TWO QUESTIONS ASAP PLEASE!!!
Answer:
6. (2,1) 7. (2,2)
Step-by-step explanation:
Number 6, Since it is a dilation of .5 you divide the x and y coordinate by 2 to get (2,1). X - 4/2=2, Y - 2/2=1
Number 7, Since it's rotating 90 degrees counterclockwise you switch the x and y coordinates. So from (x,y) to (y,x) and also when going counterclockwise you have to make the y coordinate becomes negative, so the counterclockwise equation is (-y,x) plug in your numbers and you get (2,2) as your 90 degree counterclockwise rotated coordinates.
the mid point of the sides of a triangle are (1,5,-1),(0,4,-2),(2,3,4) find the vertices
Answer:
Step-by-step explanation:
Which of the following values is a solution for the inequality statement?
Select all that apply.
-5 ≤ -4r + 3
A.7
B. 4
C. -5
D. 0
E. 3
Answer:
-5 and 0
Step-by-step explanation:
Find the value of x ?
Im stuck on this hegarty maths question help me please
Answer:
540 g flour
4 tsp baking powder
8 tbsps sugar
520 mL milk
4 eggs
8 tbsps oil
Step-by-step explanation:
Multiply each ingredient by 4!
Because the initial recipie provides the amounts for 6, simply divide 24/6 and you'll find that you only need 4x the original recipie.
135g*4 = 540
1 tsp*4 = 4 etc!
6 = r + 2 Addition and Subtraction Equations 11.2
Answer:
I'm not sure what you are looking for but I'm assuming you are finding r.
r is equal to 4.
Step-by-step explanation:
6 = r + 2
In order to find r, you have to subtract 2 from 6.
So, r = 6 - 2 = 4
Q. Find missing angle
Answer:
c =√a2 + b2=√152 + 122=√369=19.20937
∠α =arcsin(a)c= arcsin(15)19.209372712299=arcsin(0.78086880944303) = 51.34° = 51
answer is C
Answer:
Tan x = opp/ adj
Tan x = 15 / 12
Tan x = 1.25
Angle = 51.34
C. 51 degrees
HOPE ITS HELPS..!!
Can someone help me with this? Will Mark brainliest.
You're answer is Major Arc.
I am a multiple of 30, if you round me to the nearest hundred, you can get 400, what number could I be? *
Answer and Step-by-step explanation:
The answer can be 360 or 390, as both of these can round up to the nearest hundred and become 400.
#teamtrees #PAW (Plant And Water)
Situation: Find the substance's half-life, in days. Round your answer to the nearest tenth. A 33 gram sample of a substance that's used for drug research has a k-value of 0.1081. Enter the correct answer. N = Noe DONE No = initial mass (at time t = 0) 000 OO N = mass at time t k= = a positive constant that depends on the substance itself and on the units used to measure time t = time, in days
Answer:
1051 or..
10.51
Step-by-step explanation:
Since 33=30 and 0.1081 is supposed to be as a percentage since its already a decimal you could just round it and make it into a fraction then once you get the answer to the fraction it would either be 1081 since 0.1081 as a fraction is 1081/10000 or you could make into 10.81 as a decimal but after that you subtract "30 - 1,081" or 10.81 -30" either one of them and each of those numbers would give you the same exact number. Answer: 1051 or as a decimal 10.51
Answer:
The correct answer 6.4 on PLATO edmentum
Step-by-step explanation:
I did the test
The vertex form of the equation of a parabola is y=(x-5)+16. what is the standard form of the equation
Answer:
x − y = − 11
Step-by-step explanation:
Simplify each only using positive exponents:
2x^-3 • 4x^2
2x^4 • 4x^-3
2x^3y^-3 • 2x
[tex]\frac{2}{x}[/tex]
[tex]\frac{x}{2}[/tex]
[tex]\frac{4x^4}{y^3}[/tex]
Step-by-step explanation:a. 2x^-3 • 4x^2
To solve this using only positive exponents, follow these steps:
i. Rewrite the expression in a clearer form
2x⁻³ . 4x²
ii. The position of the term with negative exponent is changed from denominator to numerator or numerator to denominator depending on its initial position. If it is at the numerator, it is moved to the denominator. If otherwise it is at the denominator, it is moved to the numerator. When this is done, the negative exponent is changed to positive.
In our case, the first term has a negative exponent and it is at the numerator. We therefore move it to the denominator and change the negative exponent to positive as follows;
[tex]\frac{1}{2x^3} . 4x^2[/tex]
iii. We then solve the result as follows;
[tex]\frac{1}{2x^3} . 4x^2[/tex] = [tex]\frac{2}{x}[/tex]
Therefore, 2x⁻³ . 4x² = [tex]\frac{2}{x}[/tex]
b. 2x^4 • 4x^-3
i. Rewrite as follows;
2x⁴ . 4x⁻³
ii. The second term has a negative exponent, therefore swap its position and change the negative exponent to a positive one.
[tex]2x^4 . \frac{1}{4x^3}[/tex]
iii. Now solve by cancelling out common terms in the numerator and denominator. So we have;
[tex]\frac{x}{2}[/tex]
Therefore, 2x⁴ . 4x⁻³ = [tex]\frac{x}{2}[/tex]
c. 2x^3y^-3 • 2x
i. Rewrite as follows;
2x³y⁻³ . 2x
ii. Change position of terms with negative exponents;
[tex]2x^3.\frac{1}{y^3} .2x[/tex]
iii. Now solve;
[tex]\frac{4x^4}{y^3}[/tex]
Therefore, 2x³y⁻³ . 2x = [tex]\frac{4x^4}{y^3}[/tex]
Find the value of g in the figure given below.
Assume that the lines are parallel.
Answer:
d=60-degree (Vertically opposite angles)
e=d=60-degree (Alternate angles)
e+g=180-degree (Being in a straight line)
60+g=180
g=180-60
g=120-degree
Answer:
angle g = 20 degree
Step-by-step explanation:
60 degree + angle g = 180 degree (being co exterior angles)
angle g = 180 - 60
angle g = 120 degree
Note : co interior angles are the angles formed on the exterior of the two parallel lines and which are on the same side of the transversal .
Y
12
5
X
13
Z
Find mZX
O 21.040
O 22.620
O 67.38°
O 68.96°
6 7 8 9 10
Answer:
67.38
Step-by-step explanation:
SinX=opp/hyp
Angles then arcsin
Work out the value of x y z
Give your answer as a fraction in its simplest form.
Answer:
9/20
Step-by-step explanation:
1/3*3/5*(2*1/4)
1/3*3/5*9/4
(1*3*9)/(3*5*4)=27/60 = 9/20